Solve 2(a+5)-8(a+1)

Question

Simplify the expression

- 6 a + 2

Evaluate

2 (a + 5) - 8 (a + 1)

Expand the expression

More Steps

Calculate

2 (a + 5)

Apply the distributive property

2 a + 2 \times 5

Multiply the numbers

2 a + 10

2 a + 10 - 8 (a + 1)

Expand the expression

More Steps

Calculate

- 8 (a + 1)

Apply the distributive property

- 8 a - 8 \times 1

Any expression multiplied by 1 remains the same

- 8 a - 8

2 a + 10 - 8 a - 8

Subtract the terms

More Steps

Evaluate

2 a - 8 a

Collect like terms by calculating the sum or difference of their coefficients

(2 - 8) a

Subtract the numbers

- 6 a

- 6 a + 10 - 8

Solution

- 6 a + 2

Show Solution

Factor the expression

- 2 (3 a - 1)

Evaluate

2 (a + 5) - 8 (a + 1)

Simplify

More Steps

Evaluate

2 (a + 5)

Apply the distributive property

2 a + 2 \times 5

Multiply the terms

2 a + 10

2 a + 10 - 8 (a + 1)

Simplify

More Steps

Evaluate

- 8 (a + 1)

Apply the distributive property

- 8 a - 8 \times 1

Any expression multiplied by 1 remains the same

- 8 a - 8

2 a + 10 - 8 a - 8

Subtract the terms

More Steps

Evaluate

2 a - 8 a

Collect like terms by calculating the sum or difference of their coefficients

(2 - 8) a

Subtract the numbers

- 6 a

- 6 a + 10 - 8

Subtract the numbers

- 6 a + 2

Solution

- 2 (3 a - 1)

Show Solution

Find the roots

a = \frac{1}{3}

Alternative Form

a = 0. \dot{3}

Evaluate

2 (a + 5) - 8 (a + 1)

To find the roots of the expression,set the expression equal to 0

2 (a + 5) - 8 (a + 1) = 0

Calculate

More Steps

Evaluate

2 (a + 5) - 8 (a + 1)

Expand the expression

More Steps

Calculate

2 (a + 5)

Apply the distributive property

2 a + 2 \times 5

Multiply the numbers

2 a + 10

2 a + 10 - 8 (a + 1)

Expand the expression

More Steps

Calculate

- 8 (a + 1)

Apply the distributive property

- 8 a - 8 \times 1

Any expression multiplied by 1 remains the same

- 8 a - 8

2 a + 10 - 8 a - 8

Subtract the terms

More Steps

Evaluate

2 a - 8 a

Collect like terms by calculating the sum or difference of their coefficients

(2 - 8) a

Subtract the numbers

- 6 a

- 6 a + 10 - 8

Subtract the numbers

- 6 a + 2

- 6 a + 2 = 0

Move the constant to the right-hand side and change its sign

- 6 a = 0 - 2

Removing 0 doesn't change the value,so remove it from the expression

- 6 a = - 2

Change the signs on both sides of the equation

6 a = 2

Divide both sides

\frac{6 a}{6} = \frac{2}{6}

Divide the numbers

a = \frac{2}{6}

Solution

a = \frac{1}{3}

Alternative Form

a = 0. \dot{3}

Show Solution